This invention is directed to systems and methods for removing lipids from a fluid, such as plasma, or from lipid-containing organisms. These systems contact a fluid with an extraction solvent, which causes the lipids in the fluid to separate from the fluid or causes lipids in the lipid-containing organisms to separate from the lipid-containing organism, using at least one hollow fiber contactor. The separated lipids are removed from the fluid. The extraction solvent is removed from the fluid or at least reduced to a level below a particular threshold enabling the fluid to be administered to a patient without the patient experiencing undesirable consequences. Once the fluid has been processed, the fluid may be administered to a patient who donated the fluid, to a different patient, or be stored.